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Journal of Convex Analysis 24 (2017), No. 2, 459--476
Copyright Heldermann Verlag 2017



Lower Semicontinuity in SBV for Functionals with Nearly Linear Growth

Chiara Leone
Dip. di Matematica e Applicazioni, UniversitÓ di Napoli, Complesso di Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy
chileone@unina.it

Anna Verde
Dip. di Matematica e Applicazioni, UniversitÓ di Napoli, Complesso di Monte Sant'Angelo, Via Cintia, 80126 Napoli, Italy
anverde@unina.it



We present a lower semicontinuity result for free discontinuity energies with a quasiconvex volume term having non standard growth and a quite general surface term.

Keywords: Orlicz space, quasiconvex integrals, lower semicontinuity.

MSC: 49J45, 46E30

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